The output of an LVDT is connected to a 5V voltmeter through an amplifier

whose amplification factor is 250.An output of 2 mV appears across the terminals of LVDT when the core moves through a distance of 0.5 mm.Calculate the sensitivity of the LVDT and that of the whole set-up.The milli-Voltmeter scale has 100 divisions.The scale can be read to 1/5 of a division.Calculate the resolution of the instrument in mm.